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arXiv · 1509.08911

On the Logarithmic Coefficients of Close to Convex Functions

D. K. Thomas
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Abstract

For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $\gamma_{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} \gamma_{n}z^{n}$ when $n=1, 2,3$.

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D. K. Thomas. 2015-09-29. On the Logarithmic Coefficients of Close to Convex Functions. https://doi.org/10.1090/proc/12921

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